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ВИДЕОТЕКА |
Dynamics in Siberia - 2019
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Пленарные доклады
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Invariant spanning trees for quadratic rational maps В. А. Тиморин |
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Аннотация: This is a joint project with A.Shepelevtseva. A theorem of W.Thurston (sometimes called the fundamental theorem of complex dynamics) opens a door for algebraic, topological and combinatorial methods into dynamics of rational maps on the Riemann sphere. We study Thurston equivalence classes of quadratic post-critically finite rational maps by means of “visual” invariants, the so called invariant spanning trees. A computational procedure for searching for invariant spanning trees will be described. This procedure uses bisets over the fundamental group of a punctured sphere. Язык доклада: английский |